CAT 2025 Slot 3 — QA Question 3

ABCD is a trapezium in which AB is parallel to $\mathrm { DC } , \mathrm { AD }$ is perpendicular to AB , and $\mathrm { AB } = 3 \mathrm { DC }$. If a circle inscribed in the trapezium touching all the sides has a radius of 3 cm , then the area, in sq. cm , of the trapezium is